static constexpr int32_t _pfb_num_phases = 2048;
static constexpr int32_t _pfb_num_taps = 8;
static float _pfb[]={
    -3.853436e-03, -6.131526e-02, 2.456953e-01, 6.400000e-01, 2.459680e-01, -6.130394e-02, -3.872413e-03, 0.000000e+00, 
    -3.834490e-03, -6.132647e-02, 2.454227e-01, 6.399997e-01, 2.462407e-01, -6.129253e-02, -3.891422e-03, 2.875693e-09, 
    -3.815575e-03, -6.133758e-02, 2.451501e-01, 6.399991e-01, 2.465135e-01, -6.128101e-02, -3.910462e-03, 1.150631e-08, 
    -3.796691e-03, -6.134856e-02, 2.448777e-01, 6.399984e-01, 2.467863e-01, -6.126939e-02, -3.929526e-03, 2.589713e-08, 
    -3.777845e-03, -6.135946e-02, 2.446052e-01, 6.399974e-01, 2.470591e-01, -6.125766e-02, -3.948628e-03, 4.605340e-08, 
    -3.759023e-03, -6.137026e-02, 2.443328e-01, 6.399962e-01, 2.473320e-01, -6.124586e-02, -3.967762e-03, 7.198034e-08, 
    -3.740233e-03, -6.138096e-02, 2.440604e-01, 6.399946e-01, 2.476050e-01, -6.123392e-02, -3.986926e-03, 1.036831e-07, 
    -3.721474e-03, -6.139155e-02, 2.437881e-01, 6.399929e-01, 2.478780e-01, -6.122189e-02, -4.006122e-03, 1.411669e-07, 
    -3.702745e-03, -6.140205e-02, 2.435159e-01, 6.399908e-01, 2.481510e-01, -6.120975e-02, -4.025350e-03, 1.844369e-07, 
    -3.684049e-03, -6.141244e-02, 2.432437e-01, 6.399886e-01, 2.484241e-01, -6.119751e-02, -4.044608e-03, 2.334980e-07, 
    -3.665382e-03, -6.142273e-02, 2.429715e-01, 6.399860e-01, 2.486973e-01, -6.118517e-02, -4.063897e-03, 2.883554e-07, 
    -3.646747e-03, -6.143289e-02, 2.426995e-01, 6.399833e-01, 2.489705e-01, -6.117271e-02, -4.083211e-03, 3.490142e-07, 
    -3.628151e-03, -6.144298e-02, 2.424274e-01, 6.399803e-01, 2.492438e-01, -6.116016e-02, -4.102563e-03, 4.154792e-07, 
    -3.609578e-03, -6.145297e-02, 2.421554e-01, 6.399769e-01, 2.495170e-01, -6.114753e-02, -4.121946e-03, 4.877555e-07, 
    -3.591037e-03, -6.146285e-02, 2.418835e-01, 6.399734e-01, 2.497904e-01, -6.113477e-02, -4.141361e-03, 5.658479e-07, 
    -3.572526e-03, -6.147263e-02, 2.416116e-01, 6.399696e-01, 2.500638e-01, -6.112190e-02, -4.160807e-03, 6.497616e-07, 
    -3.554047e-03, -6.148231e-02, 2.413398e-01, 6.399656e-01, 2.503372e-01, -6.110893e-02, -4.180284e-03, 7.395010e-07, 
    -3.535598e-03, -6.149190e-02, 2.410680e-01, 6.399612e-01, 2.506107e-01, -6.109585e-02, -4.199793e-03, 8.350715e-07, 
    -3.517181e-03, -6.150137e-02, 2.407963e-01, 6.399568e-01, 2.508843e-01, -6.108267e-02, -4.219332e-03, 9.364774e-07, 
    -3.498795e-03, -6.151072e-02, 2.405246e-01, 6.399519e-01, 2.511578e-01, -6.106938e-02, -4.238896e-03, 1.043724e-06, 
    -3.480447e-03, -6.152000e-02, 2.402530e-01, 6.399469e-01, 2.514315e-01, -6.105600e-02, -4.258498e-03, 1.156815e-06, 
    -3.462123e-03, -6.152918e-02, 2.399815e-01, 6.399416e-01, 2.517052e-01, -6.104252e-02, -4.278132e-03, 1.275757e-06, 
    -3.443830e-03, -6.153826e-02, 2.397099e-01, 6.399360e-01, 2.519789e-01, -6.102892e-02, -4.297797e-03, 1.400552e-06, 
    -3.425569e-03, -6.154723e-02, 2.394385e-01, 6.399302e-01, 2.522526e-01, -6.101523e-02, -4.317493e-03, 1.531207e-06, 
    -3.407338e-03, -6.155610e-02, 2.391671e-01, 6.399241e-01, 2.525265e-01, -6.100142e-02, -4.337220e-03, 1.667726e-06, 
    -3.389138e-03, -6.156488e-02, 2.388957e-01, 6.399178e-01, 2.528003e-01, -6.098750e-02, -4.356979e-03, 1.810113e-06, 
    -3.370969e-03, -6.157355e-02, 2.386245e-01, 6.399112e-01, 2.530743e-01, -6.097348e-02, -4.376769e-03, 1.958373e-06, 
    -3.352831e-03, -6.158210e-02, 2.383532e-01, 6.399044e-01, 2.533482e-01, -6.095937e-02, -4.396583e-03, 2.112510e-06, 
    -3.334731e-03, -6.159057e-02, 2.380821e-01, 6.398973e-01, 2.536222e-01, -6.094514e-02, -4.416436e-03, 2.272529e-06, 
    -3.316655e-03, -6.159895e-02, 2.378109e-01, 6.398900e-01, 2.538963e-01, -6.093080e-02, -4.436320e-03, 2.438434e-06, 
    -3.298610e-03, -6.160722e-02, 2.375398e-01, 6.398825e-01, 2.541703e-01, -6.091636e-02, -4.456236e-03, 2.610230e-06, 
    -3.280597e-03, -6.161540e-02, 2.372689e-01, 6.398746e-01, 2.544445e-01, -6.090183e-02, -4.476182e-03, 2.787922e-06, 
    -3.262614e-03, -6.162347e-02, 2.369979e-01, 6.398665e-01, 2.547187e-01, -6.088718e-02, -4.496160e-03, 2.971513e-06, 
    -3.244662e-03, -6.163144e-02, 2.367270e-01, 6.398582e-01, 2.549929e-01, -6.087242e-02, -4.516170e-03, 3.161007e-06, 
    -3.226741e-03, -6.163932e-02, 2.364561e-01, 6.398496e-01, 2.552672e-01, -6.085754e-02, -4.536210e-03, 3.356410e-06, 
    -3.208851e-03, -6.164707e-02, 2.361854e-01, 6.398408e-01, 2.555415e-01, -6.084258e-02, -4.556275e-03, 3.557725e-06, 
    -3.190998e-03, -6.165475e-02, 2.359146e-01, 6.398317e-01, 2.558158e-01, -6.082751e-02, -4.576379e-03, 3.764956e-06, 
    -3.173170e-03, -6.166232e-02, 2.356440e-01, 6.398224e-01, 2.560903e-01, -6.081232e-02, -4.596513e-03, 3.978109e-06, 
    -3.155373e-03, -6.166980e-02, 2.353733e-01, 6.398128e-01, 2.563647e-01, -6.079703e-02, -4.616679e-03, 4.197186e-06, 
    -3.137606e-03, -6.167718e-02, 2.351028e-01, 6.398029e-01, 2.566392e-01, -6.078165e-02, -4.636877e-03, 4.422192e-06, 
    -3.119871e-03, -6.168446e-02, 2.348323e-01, 6.397927e-01, 2.569137e-01, -6.076615e-02, -4.657106e-03, 4.653132e-06, 
    -3.102167e-03, -6.169164e-02, 2.345618e-01, 6.397825e-01, 2.571883e-01, -6.075053e-02, -4.677366e-03, 4.890008e-06, 
    -3.084493e-03, -6.169872e-02, 2.342914e-01, 6.397718e-01, 2.574629e-01, -6.073481e-02, -4.697657e-03, 5.132826e-06, 
    -3.066850e-03, -6.170569e-02, 2.340211e-01, 6.397610e-01, 2.577376e-01, -6.071901e-02, -4.717973e-03, 5.381589e-06, 
    -3.049245e-03, -6.171257e-02, 2.337508e-01, 6.397498e-01, 2.580123e-01, -6.070308e-02, -4.738328e-03, 5.636301e-06, 
    -3.031664e-03, -6.171936e-02, 2.334806e-01, 6.397385e-01, 2.582870e-01, -6.068703e-02, -4.758713e-03, 5.896967e-06, 
    -3.014114e-03, -6.172604e-02, 2.332105e-01, 6.397269e-01, 2.585618e-01, -6.067089e-02, -4.779131e-03, 6.163589e-06, 
    -2.996595e-03, -6.173263e-02, 2.329404e-01, 6.397150e-01, 2.588367e-01, -6.065465e-02, -4.799579e-03, 6.436172e-06, 
    -2.979106e-03, -6.173913e-02, 2.326703e-01, 6.397029e-01, 2.591116e-01, -6.063828e-02, -4.820059e-03, 6.714721e-06, 
    -2.961648e-03, -6.174552e-02, 2.324004e-01, 6.396905e-01, 2.593864e-01, -6.062181e-02, -4.840571e-03, 6.999237e-06, 
    -2.944222e-03, -6.175182e-02, 2.321304e-01, 6.396779e-01, 2.596614e-01, -6.060524e-02, -4.861113e-03, 7.289726e-06, 
    -2.926826e-03, -6.175800e-02, 2.318606e-01, 6.396649e-01, 2.599364e-01, -6.058856e-02, -4.881680e-03, 7.586191e-06, 
    -2.909468e-03, -6.176410e-02, 2.315908e-01, 6.396518e-01, 2.602115e-01, -6.057177e-02, -4.902285e-03, 7.888634e-06, 
    -2.892133e-03, -6.177010e-02, 2.313211e-01, 6.396384e-01, 2.604865e-01, -6.055487e-02, -4.922923e-03, 8.197063e-06, 
    -2.874829e-03, -6.177601e-02, 2.310513e-01, 6.396248e-01, 2.607617e-01, -6.053787e-02, -4.943591e-03, 8.511478e-06, 
    -2.857557e-03, -6.178182e-02, 2.307817e-01, 6.396109e-01, 2.610368e-01, -6.052076e-02, -4.964291e-03, 8.831883e-06, 
    -2.840314e-03, -6.178753e-02, 2.305122e-01, 6.395968e-01, 2.613120e-01, -6.050354e-02, -4.985021e-03, 9.158283e-06, 
    -2.823103e-03, -6.179314e-02, 2.302427e-01, 6.395823e-01, 2.615873e-01, -6.048621e-02, -5.005784e-03, 9.490680e-06, 
    -2.805922e-03, -6.179866e-02, 2.299732e-01, 6.395677e-01, 2.618626e-01, -6.046877e-02, -5.026578e-03, 9.829078e-06, 
    -2.788772e-03, -6.180406e-02, 2.297038e-01, 6.395528e-01, 2.621379e-01, -6.045123e-02, -5.047396e-03, 1.017348e-05, 
    -2.771660e-03, -6.180938e-02, 2.294345e-01, 6.395377e-01, 2.624133e-01, -6.043357e-02, -5.068253e-03, 1.052389e-05, 
    -2.754572e-03, -6.181461e-02, 2.291653e-01, 6.395223e-01, 2.626887e-01, -6.041581e-02, -5.089141e-03, 1.088032e-05, 
    -2.737514e-03, -6.181974e-02, 2.288960e-01, 6.395066e-01, 2.629641e-01, -6.039793e-02, -5.110061e-03, 1.124275e-05, 
    -2.720487e-03, -6.182477e-02, 2.286269e-01, 6.394907e-01, 2.632396e-01, -6.037996e-02, -5.131012e-03, 1.161121e-05, 
    -2.703490e-03, -6.182971e-02, 2.283579e-01, 6.394745e-01, 2.635151e-01, -6.036186e-02, -5.151995e-03, 1.198569e-05, 
    -2.686525e-03, -6.183455e-02, 2.280888e-01, 6.394581e-01, 2.637907e-01, -6.034366e-02, -5.173009e-03, 1.236619e-05, 
    -2.669590e-03, -6.183930e-02, 2.278199e-01, 6.394414e-01, 2.640663e-01, -6.032535e-02, -5.194054e-03, 1.275272e-05, 
    -2.652686e-03, -6.184392e-02, 2.275510e-01, 6.394245e-01, 2.643419e-01, -6.030694e-02, -5.215123e-03, 1.314528e-05, 
    -2.635819e-03, -6.184848e-02, 2.272822e-01, 6.394073e-01, 2.646176e-01, -6.028841e-02, -5.236232e-03, 1.354388e-05, 
    -2.618976e-03, -6.185294e-02, 2.270134e-01, 6.393899e-01, 2.648933e-01, -6.026977e-02, -5.257372e-03, 1.394851e-05, 
    -2.602163e-03, -6.185729e-02, 2.267447e-01, 6.393722e-01, 2.651691e-01, -6.025103e-02, -5.278544e-03, 1.435918e-05, 
    -2.585382e-03, -6.186156e-02, 2.264760e-01, 6.393543e-01, 2.654449e-01, -6.023217e-02, -5.299745e-03, 1.477590e-05, 
    -2.568630e-03, -6.186572e-02, 2.262075e-01, 6.393361e-01, 2.657207e-01, -6.021320e-02, -5.320980e-03, 1.519867e-05, 
    -2.551910e-03, -6.186980e-02, 2.259389e-01, 6.393178e-01, 2.659965e-01, -6.019413e-02, -5.342246e-03, 1.562748e-05, 
    -2.535220e-03, -6.187375e-02, 2.256705e-01, 6.392991e-01, 2.662725e-01, -6.017495e-02, -5.363543e-03, 1.606235e-05, 
    -2.518561e-03, -6.187765e-02, 2.254021e-01, 6.392801e-01, 2.665484e-01, -6.015566e-02, -5.384863e-03, 1.650327e-05, 
    -2.501938e-03, -6.188143e-02, 2.251338e-01, 6.392609e-01, 2.668244e-01, -6.013624e-02, -5.406223e-03, 1.695025e-05, 
    -2.485340e-03, -6.188512e-02, 2.248655e-01, 6.392415e-01, 2.671004e-01, -6.011672e-02, -5.427614e-03, 1.740329e-05, 
    -2.468773e-03, -6.188872e-02, 2.245973e-01, 6.392218e-01, 2.673765e-01, -6.009711e-02, -5.449037e-03, 1.786240e-05, 
    -2.452236e-03, -6.189222e-02, 2.243292e-01, 6.392018e-01, 2.676525e-01, -6.007737e-02, -5.470491e-03, 1.832757e-05, 
    -2.435729e-03, -6.189563e-02, 2.240611e-01, 6.391816e-01, 2.679287e-01, -6.005752e-02, -5.491977e-03, 1.879882e-05, 
    -2.419253e-03, -6.189894e-02, 2.237931e-01, 6.391612e-01, 2.682048e-01, -6.003756e-02, -5.513494e-03, 1.927613e-05, 
    -2.402807e-03, -6.190214e-02, 2.235252e-01, 6.391405e-01, 2.684810e-01, -6.001750e-02, -5.535042e-03, 1.975952e-05, 
    -2.386392e-03, -6.190526e-02, 2.232573e-01, 6.391195e-01, 2.687572e-01, -5.999731e-02, -5.556614e-03, 2.024899e-05, 
    -2.370014e-03, -6.190829e-02, 2.229895e-01, 6.390983e-01, 2.690335e-01, -5.997703e-02, -5.578226e-03, 2.074454e-05, 
    -2.353660e-03, -6.191123e-02, 2.227217e-01, 6.390769e-01, 2.693098e-01, -5.995662e-02, -5.599869e-03, 2.124618e-05, 
    -2.337337e-03, -6.191406e-02, 2.224540e-01, 6.390551e-01, 2.695861e-01, -5.993612e-02, -5.621543e-03, 2.175390e-05, 
    -2.321043e-03, -6.191681e-02, 2.221864e-01, 6.390332e-01, 2.698625e-01, -5.991549e-02, -5.643249e-03, 2.226770e-05, 
    -2.304781e-03, -6.191947e-02, 2.219189e-01, 6.390110e-01, 2.701389e-01, -5.989476e-02, -5.664986e-03, 2.278760e-05, 
    -2.288548e-03, -6.192202e-02, 2.216513e-01, 6.389886e-01, 2.704154e-01, -5.987391e-02, -5.686755e-03, 2.331359e-05, 
    -2.272346e-03, -6.192447e-02, 2.213839e-01, 6.389658e-01, 2.706918e-01, -5.985295e-02, -5.708555e-03, 2.384568e-05, 
    -2.256175e-03, -6.192683e-02, 2.211166e-01, 6.389428e-01, 2.709684e-01, -5.983188e-02, -5.730379e-03, 2.438386e-05, 
    -2.240040e-03, -6.192912e-02, 2.208493e-01, 6.389197e-01, 2.712449e-01, -5.981071e-02, -5.752243e-03, 2.492815e-05, 
    -2.223930e-03, -6.193130e-02, 2.205821e-01, 6.388961e-01, 2.715215e-01, -5.978940e-02, -5.774137e-03, 2.547854e-05, 
    -2.207849e-03, -6.193339e-02, 2.203149e-01, 6.388724e-01, 2.717981e-01, -5.976801e-02, -5.796063e-03, 2.603503e-05, 
    -2.191800e-03, -6.193540e-02, 2.200478e-01, 6.388485e-01, 2.720747e-01, -5.974649e-02, -5.818020e-03, 2.659763e-05, 
    -2.175780e-03, -6.193729e-02, 2.197808e-01, 6.388242e-01, 2.723514e-01, -5.972486e-02, -5.840010e-03, 2.716634e-05, 
    -2.159790e-03, -6.193910e-02, 2.195138e-01, 6.387997e-01, 2.726281e-01, -5.970312e-02, -5.862030e-03, 2.774116e-05, 
    -2.143831e-03, -6.194080e-02, 2.192469e-01, 6.387751e-01, 2.729049e-01, -5.968127e-02, -5.884082e-03, 2.832209e-05, 
    -2.127903e-03, -6.194243e-02, 2.189801e-01, 6.387501e-01, 2.731816e-01, -5.965931e-02, -5.906157e-03, 2.890914e-05, 
    -2.112011e-03, -6.194396e-02, 2.187134e-01, 6.387248e-01, 2.734585e-01, -5.963723e-02, -5.928272e-03, 2.950231e-05, 
    -2.096143e-03, -6.194540e-02, 2.184466e-01, 6.386994e-01, 2.737353e-01, -5.961503e-02, -5.950417e-03, 3.010161e-05, 
    -2.080305e-03, -6.194674e-02, 2.181800e-01, 6.386735e-01, 2.740122e-01, -5.959274e-02, -5.972596e-03, 3.070702e-05, 
    -2.064498e-03, -6.194800e-02, 2.179135e-01, 6.386476e-01, 2.742891e-01, -5.957032e-02, -5.994805e-03, 3.131855e-05, 
    -2.048721e-03, -6.194916e-02, 2.176470e-01, 6.386214e-01, 2.745660e-01, -5.954779e-02, -6.017045e-03, 3.193621e-05, 
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};
